The sign at the front says it's the only food they allow in, and don't mention a party room, so you should be fine.
It is ok. Here is what I found on their website. Hope this helps. We do allow you to bring in your own birthday cake if you are having a birthday celebration. Other than that we ask for no outside food or drink in our park. We are free admission, it is easy to leave the park and return after eating as long as your armband remains on your wrist. Of course, once you see our fun food options, we hope to tempt you into staying and recharging here.
I saw people we it cskes. They do not check the bags you carry
Yes you can.
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